Grade 1 titanium plates with both symmetrically and anti-symmetrically waisted cracks were due to tension tests first to receive the load vs. displacement diagrams and mechanical properties of strength and stiffness. Next from cyclic tests the load vs. cycles curves were constructed and fatigue life obtained. The numerical results of crack growth and life were obtained by using the finite element method and ANSYS workbench. From fracture mechanics the critical crack length was considered as final failure, then the modified numerical results were received. The results in load vs. cycles curves from two numerical method were found within acceptable errors with the experimental data.